Generally agree with Ryan, I've kept them from the mid-70s up to about 80, with no issues at 80. So 81, 82 probably not a big stretch. 84-- I'd hesitate, personally, unless I was able to get some reassurance from Florida breeders on that. Even at that, from the science oriented reading I've done, long term temps at the higher end of what a species can handle can also shorten their natural lifespan, as already mentioned. Doesn't mean you can't keep fish at the warmer end of their temperature range, but it's a consideration.
If your house or fish room is air conditioned, I wouldn't see where you'd have a problem. If not, you can still use evaporation-- open lid (with a screen if needed to keep fish from leaping out), or even a fan over the surface of the tank-- to cool the water. Water evaporation removes 540 calories of heat per gram of water. 10-12 years ago I did a fairly involved post on this on a forum, took the time to run the numbers to make them meaningful for a fish tank. That forum's now defunct so I can't access my post, but when you do the math, it makes a real world difference. How much difference depends on things like ambient air temperature and humidity, water volume and surface area, even wind speed-- so it took some time for me to put it together. Bottom line, though, is it makes a difference and fisheekpers I've known in hot countries, like India (through forums), have used this principle to enable them to keep fish like frontosa in a hot climate without air conditioning.